Search a number
-
+
3737134081 is a prime number
BaseRepresentation
bin1101111011000000…
…0010010000000001
3100122110002002012101
43132300002100001
530123201242311
61414455430401
7161416054432
oct33660022001
910573062171
103737134081
11164857316a
12883685401
13477325b55
14276489489
1516d14dec1
hexdec02401

3737134081 has 2 divisors, whose sum is σ = 3737134082. Its totient is φ = 3737134080.

The previous prime is 3737134057. The next prime is 3737134091. The reversal of 3737134081 is 1804317373.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2245243456 + 1491890625 = 47384^2 + 38625^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3737134081 is a prime.

It is a super-2 number, since 2×37371340812 = 27932342278743429122, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3737134081.

It is not a weakly prime, because it can be changed into another prime (3737134031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1868567040 + 1868567041.

It is an arithmetic number, because the mean of its divisors is an integer number (1868567041).

Almost surely, 23737134081 is an apocalyptic number.

It is an amenable number.

3737134081 is a deficient number, since it is larger than the sum of its proper divisors (1).

3737134081 is an equidigital number, since it uses as much as digits as its factorization.

3737134081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 3737134081 is about 61132.1035217994. The cubic root of 3737134081 is about 1551.8374437002.

The spelling of 3737134081 in words is "three billion, seven hundred thirty-seven million, one hundred thirty-four thousand, eighty-one".